* Both receptor cooperativity and accurate adaptation can be described quantitatively by simple mathematical models.
* An integrated model (the “standard model”), which contains both signal amplification and adaptation, is developed to predict responses of it E. coli cells to any time-dependent stimuli quantitatively.
* Exponential ramps induce activity shifts, which depend on the ramp rate through the methylation rate function F(a).
* Responses to oscillatory signals reveal that E. coli computes time-derivative in the low-frequency regime.
* E. coli memorizes the logarithm of the ligand concentration and the Weber-Fetcher law holds in E. coli chemotaxis.
It also goes into cooperative phase transitions in the receptor complexes as a means of signal amplification, using the same model as in Ising ferromagnetic spin-spin interactions in physics.
"Quantitative modeling of bacterial chemotaxis: Signal amplification and accurate adaptation, Yuhai Tu"
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3737589/
The main points are:
* Both receptor cooperativity and accurate adaptation can be described quantitatively by simple mathematical models.
* An integrated model (the “standard model”), which contains both signal amplification and adaptation, is developed to predict responses of it E. coli cells to any time-dependent stimuli quantitatively.
* Exponential ramps induce activity shifts, which depend on the ramp rate through the methylation rate function F(a).
* Responses to oscillatory signals reveal that E. coli computes time-derivative in the low-frequency regime.
* E. coli memorizes the logarithm of the ligand concentration and the Weber-Fetcher law holds in E. coli chemotaxis.
It also goes into cooperative phase transitions in the receptor complexes as a means of signal amplification, using the same model as in Ising ferromagnetic spin-spin interactions in physics.